{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 03\n",
    "\n",
    "# 正圆内接、外切正多边形\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ffc9957-915a-43f3-b918-17c707264765",
   "metadata": {},
   "source": [
    "该代码利用`matplotlib`库绘制了一系列不同边数的正多边形（边数为6、8、10、12、14和16），展示了每个正多边形的内接与外接情况，并与单位圆进行对比。每个正多边形都分为两个版本：一个是内接于单位圆的正多边形，其顶点位于单位圆上，半径为1；另一个是外接于单位圆的正多边形，其边长调整为使所有边刚好包围住单位圆，半径为$\\frac{1}{\\cos(\\frac{\\pi}{\\text{num\\_vertices}})}$。\n",
    "\n",
    "### 代码细节\n",
    "\n",
    "1. **内接正多边形**：每个多边形的半径固定为$1$，顶点位于单位圆的边界上，因此该多边形与单位圆形成内接关系。随着顶点数的增加，这些正多边形越来越接近单位圆的形状。\n",
    "\n",
    "2. **外接正多边形**：将多边形的半径设为$\\frac{1}{\\cos(\\frac{\\pi}{\\text{num\\_vertices}})}$，这样多边形的每条边都在单位圆之外，形成外接关系。边数越多，外接正多边形的边逐渐贴近单位圆的轮廓。\n",
    "\n",
    "3. **单位圆**：绘制一个半径为$1$的圆作为对比。单位圆用于展示当多边形的边数趋于无穷大时，正多边形如何近似于圆形。\n",
    "\n",
    "### 总结\n",
    "\n",
    "该代码通过可视化展示了正多边形边数增多时的几何变化特性。随着边数增加，内接与外接正多边形逐渐逼近单位圆，体现出多边形在边数趋于无穷大时的极限性质。这种渐进过程在几何中直观展示了圆与正多边形的关系，揭示了多边形近似圆形的特性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "855242cc-683c-48fd-97f6-38e1f2eaa1e8",
   "metadata": {},
   "source": [
    "## 绘制正多边形和单位圆的嵌套图形"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "969c5156-e464-44aa-88a5-9fd16dbf7add",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ldZfFhu5QDJXVPdUU+b5vMFQ9T31zQJIMQ69SwGQwoKwss5UZv/bNF8tx3SXnw2m34sKLLsK111yDmpqa7X8hFRSGwijj9Xpx73334+6756OiohLX3fkAps+cndUZtqy0lpZVQTWMSutCEw4F0e12oFwios6ggVaT3dqOcDiE+2+7Hi//cyEmTJyEBQ/cj3322YdLSqMIQ2GUiEQi+Oabb3DJZX/Ht998jUOPnoMrbrwTNXJF1maIxWOw2WwwO9yIoRgqjS7jBXL5SBRF+HxeBL0uKMqLUWvUQ6VSZfUI63fffIlrLj4XNosZfz7nHFx5+d/5SNBRgqFQ4JLJJMxmMxY8/BgeWnA/KiurccP8B7H3/gdmbwYhCZfLhQ6LHYFY5iqtC00ymeip6A77s1LR/WvhcAgL7roFLzz5CMZPmIjbbr0V+++3LxRZXGak7GMoFKjeSuv//u97XH3tNfj+v9/g8GNPxGXX35bVqwOPx4MuqxXuQBRlVXLIFSp+2hykWCwKt9MBmRCFUa2AwaDP6hXW9//9Ctf+7TxYzJ0446xzcNH556KpqZEV3QWKoVCAAoEAWje1YdmX3+Cma6+CkEzipnseyurVwZaV1kUlFVCptJBxXXpYeiq6HaiSFaHOoOmpzMjSXkw4HMKCO2/G808+gukzZ+GKKy7HTuOaWdFdgBgKBSQWi6GjowObzHYs/mQpHrjjJozdYQLuf/IFGIy1WZkhnojDbrOhy+FGRJBCpdaiLMt37Ray3oruoL8bqspS1Br1UCgUWdtvWPT2G7jukvMxZtwOuPzamzGhuQ7NjfXQarWj9uRYoWEoFABBEGC1WtHS3glnMI43X30Zzz7+D8w+/BjcOH9BVppMBVGA2+VGp9UKX0RA9QirtC40iUQC3e6eim6dogq1JiMqs9QLtW7VClx05klIJhO45rZ7MG5ME2o1NWhuauQR1gLAUMhzbrcbrW3tsLiDEKSluO+267Dsow9w0RXX4/RzL8rKpzef34cuswUufxjFFXIoVKqCq6YYqaLRCNxOO0oQh0mrgl6vz0pFt9Nuw8V/PgU/rFmJK2+ej9/vtgdKEUOTUYuGhgaUZrFFl9KLoZCnQqEQNrW1o8PugiCrRCwWw6Xnng5LVwfuWPAE9p0xK+MzbFVpLS2HSq3Nm0rrQrNlRXe9UQe1Wp3xYI5Fo7j5yovx9msv4rRzLsTp51wEj9sOeakEYxtMMBqNWXkKH6UXQyHPxONxdHV1oaXTikBCAp3BhLWrvsclZ5+KGrkCDz71EsaOn5DRGRKJBBxOBzqtToSFIihUGlRUjJ5qipGqt6I7EvBCVVWKOqMB8gyfNBNFEc8/+Qjuufka/HHfA3DbA48jHosi5HVBV1OG5qYGaDSajM5A6cVQyBOiKMJms6G1vRPOYAw1Kj0UShVefe4p3Hn95fj9Hnvh7oefgVypzNwMEOF2u9FlscETjhdMpXWh6a3oRiwEvbIGRqMh4xXdXyz7BJedfzrUGh0efOol1NY1wG4zQ4wGUKdRYExTI5/6licYCnnA4/GgdVM7zG4/SqoU0OgMkEgkuOvGK/HiU4/hxDPOxqXX3prRo4GBQABdZgucviBk5dVQqNSsphjhIuEQ3C4HyiRJ1GpV0OkzW9Hd1roRF55xApx2KxY8/Qr+7w97IBQMwG41o0KSwJhaPerq6lDCJcYRjaEwgoXDYbS3d6DN6kRcUga9sRalZWVIJpO4+cqL8ebLz+GqW+7GnLnzMjZDNBaF1WKF1eVBXFIKpVrDaoo84/N5EPC4IS+Totagh0qtylhFt9/nxV/PPAlrVn6PBU+/hD/8cR8AgKfbDY/TCmW5FM0NdTAYDLyJcYRiKIxAiUQCFosFLe1meOMiNDpT6nhnIpHAdZech/ffeh033fMQDjvmhIzMkEwm4HQ60Wl1IpDYXE2RxYoFSq/eiu54yAt1dTlqTUbUVGfm+Gg4HMLFZ56M/339Be574nnstd+MnhmSSTjtNkR8bhhVlRjT2ACVSpWRGWjoGAojiCiKcDgcaGnrgMMfRbVSC5Xml5uC4vE4rrzwLHy86N+4/cEnMOuwo9I/A8SeagqLDe5gdNRXWheaXyq6IzCo5DBmqKI7Fo3iknNOxReffYK7H3kG+x148Fb/zG41Q5IIol6nRlNjAyoqeIPjSMFQGCF8Ph9a29rR6fBCVlEDrd64VV1xPBbDpeeehuWfLsHdDz+N/WcdmvYZgqEgzGYL7J4AJGVVUKo0rDAoUKFQAN0uJyqlImoNGui02rTvEcVjMVxx4Vn49MP3cMc/nsSBhxy+1T8P+H1w2i2olAoYW2+EyWRiRfcIwFDIsWg0io6ODrSa7YiiBDpjLcp/dVIkkUjg7+efgWUffYD7n3g+7R1Gv1RadyMGGSutRwlRFOHzehDwuaCsKOnZb0hzRXcikcA1F5+Lxe++iXsee3arK4beGbrdLnhdVmirStHcWA+dTscr0xxiKORIMpmE1WrFz21d8EYFqLVG1GyjkjiZTOLqv56Dxe++iXsffy6tD8TprbTutNrhj4qQK9SoYk3BqJNMJtDt6qnM0MirUGs0pPX4aCKRwOUXzMPSJYvw4JMvYc/pB2zzNU67FfGgB0ZlNZrHNEIuZ01KLjAUcsDlcqFlUzts3jAq5GqotbptnsQQBAE3XPYX/PuNl3HXw09h5sGHb+O7DY3X60GnpafSurRSDoWSldajXTQagdvlQIkQg0GtgMFoQGlJeuoq4rEY/nb2XHy1fCkeevbV1KmkX4uEw7BbzSgWImg0aNDY2JD1x5KOdgyFLAoEAtjU1o5ORzdQWgWd3tRnLYQoirj16kvx2vNP4bYHHschRx6blhnCkTDMFitsbi/ASmvahmBgc2VGb0W3VpuWyoxoJIKL5p2I7/77FR59/g383x/26PO1Pq8HLocF8uIiNG+uzOD+VnYwFLIgFouhs7MTrV02hAQZdAYTKir7vzx//MG78Y/5t+DG+Qtw5PGnDHsGVlrTYIiiCG+3G8FAN9SVZWmr6A6HQ7jg1OOwfu0qvPDvT9DUPK7fGVwOO/weB/Q15WhurIdGo+F+Q4YxFDJIEATYbDa0tHfCHUpAoTFAodz+uexPP3wPF515Es675Eqc89fLhzfD5krrLqsNnkiip9K6mtUUNDCJRAJulwNiNAidogqmNFR0+31enHz4TIiiiBfe+Wi7FevxeBwOmwXJsA+1GjmamxpRzce5ZgxDIUO6u7vRsqkN1u4gSqtV0Oj0A2qM/PGHtZh75EHYc/oBmP/w08Na59+60rqmp5qCldY0BJFIGG6XHaVIwqRVDruiu611I0780/7Y5f/+gAVPvzygn41wOAS7pQtliKPJpEV9fT0rujOAoZBmv1RauyHIKqAzmFAywD+43W4XTvzT/qiqqsY/3/wQFUP8RBaJRGCxWmF1eyFISqHS6FhpTWkR8Png9ThRXSpBnUEHjUYz5MqML5Z9gvPmHoO5f74Af7v6pgF/nbe7G26nFYoyCcY21MJgMLCiO40YCmkSj8dhNpvR0mGBP1EErd6EqkHUCMTjcZxz0pH4+cf1eOndT2Cqaxj0DMlkAnaHA11WJ4LJIijVrLSm9BMEAZ5uN6LB4Vd0P7fwYcy/8Srcev+j+NPRxw9qBqfdhrDPDb28HM1NDVCr1UOagbbGUBgmURRht9t7qikCUdSo9FCpB78ZduvVl+KNF5/BEy+/g9/t9sfBzdBbaW21oTsUR1WNCjVyBfcNKKMS8ThcLgeK4iHoVXKYjAaUlw3u0a+iKOL6Sy/A+2+/jqdfex+Tp/1uUF8fj8Vgs5pRFAugTqvEmKZGVFZm57GkhYqhMAxerxctrW2wdPtRXNlTaT2UY3OvPf80br7yYlx35wM45sRTB/W1gUAAXVYrHJ4AZGVVUKo1rLSmrNqqolunhl6nH9TPQSwaxbw5f4K5ox0vvfcpdAbjoGdgRXf6MBSGIBKJoK2tHe1WJ6KSUugNtSgrH9wnpF7ffvUf/PmEw3HsyafjypvnD/jrorEorFYbrM5uxCQlUKm1rKagnBFFEX6/F36PC4oyGeqMeihVA6/odtptOOHQ/aHV6fHUa+8N6edJFMVURbe6shjNDXXQ6/W8KXOQGAqDkEwme/YN2i3wxjdXUwzjcYddHW048dD9MW7CRDz6/L8GVAaWFJJwOhystKYRqaei24V4yDfoiu51q1bg1KNmYeYhh+HW+x8b8vJnMpmEw25FzN8Ng7ISzU2NUGbwiYSFhqEwAKIowul0oqWtAzZfGNUKLdTa4ZV2xaJRnHTYAQgE/Hjp3U+3e/9Cb6W12WKDKxhBRVVPpTU/BdFIFItF0e10QCJEYVTJYTQaBnQlu+jtN3D5BfNw2fW34ZQzzxvWDNFIBHarGdJkGA06FRpZ0T0gDIXt8Pv9aN3Uhk6nF5KyaugM6an3ffDOm/HMYw/ipXc/wY4TJ/f72i0rrYtKK6FSa3nLP+WFLSu66wxaaLXb3/O664Yr8drzT+PVD5djzNgdhj1DwO+Dw2ZGtUxEc70RtbW1/PnpB0OhD4IgoKWlBZvMDoQhg85QO+T7Bn5t7crvcfLhM3DuxVfgzxdd1ufrYvEY7DY7uhxuRCGFSq1D2SBPdxDl2i8V3W4oK4pRZzRAqVT2WZkRDodw3EF7Q6FS45k3FqXlHgRRFOF2OeFz26GtLsH45jE8wtoHhkIf4vE4ln/9P6BcCa3ekLbvG4tGMefg6SgpLcHzb3+0zasOQRTgcrnQYbHBHxUgV2hYaU15r7eiOxEJQKuoQp3RgMo+OsC+/+9XOO3o2fjb1Tfh1LP/krYZEokE2lp+xs4Naowb13fv0mjGa6jtGOqpor48ev9daGv9GS+/t3SbgeD1edFptsDtj6C0SgGjlpXWVBikUhk0OgOi0QjsLgc8GzbCoFHCYND/pqJ72q674+R55+If82/FPjNmpWUZCQBkMhmKh1HPMRrw3SaL1q78Hk8/cj/OuejvGL/TpK3+WTgSxsbWVqz9qRWemARaUyNUag0DgQpOaWkZjKZ6lCl02GT3Ys0PP8FmtyEpJLd63QV/vwYGUy2uu+R8JJPJPr4bpRvfcbIkFo3imr+dh/ETd8bp5/019fcTiQTMFjNWr/8Jne4gqtVG6A0mPuOACl5lVTWMdY0QS6uxod2C9Rt+gsfjgYieFe3y8grcdM9DWPXdf/H8wodzPO3oweWjLPn1spEgCuh2u9Fp+aXS2sRKaxplJBIJFCo1qmrk6HY74Nm4CXpFNUwmIyrKKzK2jER945VCFvx62cgf8OOnnzbih9ZORCTlMNQ1oaaGXUU0eslkMmh1Rsi1tTD7Iliz4Wd0dnYinohzGSnLGAoZtuWy0UnzzsGmTZuw9scWOENJqAz1UGt0fMYB0WZlZeUw1TaiuEqNjVY31q7fgEAwiBvuXsBlpCxhKGTYEwvuRlvrz/jrVTdh/cZNaHMFUK7UQ2+qQ0maHopOVGiqa+Qw1jUhJq3C+tYulNWocOwpZ+Af829Fe2tLrscraAyFDLJauvD0ow/i4KNPQKxMAZQrYKpr7PNsNhH9QiKRQKXWQGNsgCcmwd6HHouqGjnuv/PGXI9W0BgKGfTA7TeiuKQU+x9zBgy1jZArlNw3IBqk4pIS6A0mqIxjcNCc0/HRe29jxf++yfVYBYuhkCGtG3/ConfewEHHnoqGMeP4jAOiYSqvqMTBx50GY10jHpp/a67HKVgMhQx56O5bodbosM/BR+Z6FKKCIZXJcMTJZ+Lr/yzDV58vy/U4BYmhkAFrV36Pxe++hbl/vgDF3EwmSqtpu++NnXf5Pzx4x41gdVv6MRQy4P47bsDY8RMw45Ajcj0KUcEpKirC+ZddjTUrv8OS99/J9TgFh6GQZl8tX4qvP1+GC/9+bVoqf4not363257Yc/oMLLjrZiQSiVyPU1AYCmkkCALuv/0G7PK7P2D6gQfnehyignbRFdehreVnvPXqC7kepaAwFNJoyXtvY93qFbjoiut59JQowyZMmoLZhx+DR++9A+FwKNfjFAyGQprE43H8Y/4t2Hv/A/H73ffM9ThEo8IFl14Nt8uBl555ItejFAyGQposevt1tLVuxIWXX5vrUYhGjfqmMTj6xNPw1EP38WohTRgKafLyPxfij/segB0nTs71KESjytyzzoff58WH7/wr16MUBIZCGqxd+T3WrPgf5sydl+tRiEad+qYx2HP6DLzy7JO5HqUgMBTS4NXnnoSxtg77HHBQrkchGpXmzJ2Htau+x5oV3+V6lLzHUBgmn8eD9996HcecdDrvSyDKkb32mwlTXT1eeXZhrkfJewyFYXr7tReQFJI46vhTcj0K0agllUpx7Mln4IN3/gVPtzvX4+Q1hsIwCIKAV597CjMPPhxqrS7X4xCNakfMORmCKOBt3sw2LAyFYfj682Voa93IDWaiEUCt0eLAQ47Aq889BUEQcj1O3mIoDMMrzy7EDhMmYtquu+d6FCJCz4ZzR1srvvzs01yPkrcYCkNkNXdi6ZJFmDP3TFZaEI0Qu/zuD9hx4s7ccB4GhsIQvf7CMyivqMQhRx6b61GIaLOioiLMmXsmPvv4Q5g723M9Tl5iKAyBIAh48+XncehRc1BZVZ3rcYhoCwcfcQwqKqvw5ivP53qUvMRQGILVK/4Hh92Kg484JtejENGvVFRWYfrMWVi6+P1cj5KXGApDsHTxIihVakz5v11zPQoRbcP0mQdjw7o1XEIaAobCECxdsgh7738g72AmGqH+uO/+kBUXY9lHH+R6lLzDUBikjk2t2PjjD5h+4Oxcj0JEfaiqrsGuu++FpYsX5XqUvMNQGKSlHy1CcUkJ/rjP/rkehYj6Mf3A2fjvV58j4PflepS8wlAYpGUffYDd9twXFZVVuR6FiPqx74xZSMTj+GLZJ7keJa8wFAbB5/Hgf1/9B9NncumIaKQz1TVgx4k7Y+kSnkIaDIbCIHy+9CMkk0nsM4PPTSDKB/vOmIXPPl6MRCKR61HyBkNhEJYuWYSdJu8Cg7E216MQ0QBMn3kwfF4PVvz3q1yPkjcYCgMUj8Xwn6VLuHRElEcmTpkKrc6ApUt4CmmgGAoD9L9vvoTf52MoEOURiUSCfWfOwqeL34coirkeJy8wFAbo2y+XQ6XRYsKkKbkehYgGYc99D0BHWyvsVkuuR8kLDIUBWrd6JSZNmcaabKI8M2mXaQCAdatX5HaQPMFQGABRFLFu9QpMnLxLrkchokHSG2uhVGuwbtX3uR4lLzAUBsBm6YLb6cDEyVNzPQoRDVJRUREmTZmGdatX5nqUvMBQGIB1q1YAAHaaMjWncxDR0EycvAvWrV7BzeYBYCgMwLrVK6DW6qA3mHI9ChENwcTJU+Fy2LnZPAAMhQFYt3olJk6eyk1mojw1cfNVPvcVto+hsB3cZCbKf6nNZp5A2i6GwnY4bFZuMhPlOW42DxxDYTs2rFsNgJvMRPmOm80Dw1DYjh/WrIJKo+UmM1Ge691sdjkduR5lRGMobMeGdau5yUxUAHo3m39evy63g4xwDIXt6OpoR/O48bkeg4iGSW+sRXlFJSzmzlyPMqIxFLbDabdBqzfkegwiGqaioiLo9Aa4uXzUL4ZCP8KhEMKhIDQ6hgJRIdDo9HC7nLkeY0RjKPTD5XIBAHQGhgJRIdDqDOh28UqhPwyFfvSeUuCVAlFh0OoNvFLYDoZCP1JXCtxTICoIGobCdjEU+uFyOlFeXoHKqupcj0JEaaDV6REKBhAKhXI9yojFUOiH2+WERqfP9RhElCa9JwkdDu4r9IWh0A+Xywm1VpfrMYgoTbSb9wdtNluOJxm5GAr9cLlcDAWiAsIrhe1jKPTD5XRAw1AgKhhV1TUoLS2D3W7P9SgjFkOhH25eKRAVlKKiIijVGoZCPxgKfRBFEcFgENU18lyPQkRpVF1TA7/fn+sxRiyGQh8SiQQAQCYrzvEkRJROEqk09fNNv8VQ6MMvoSDL8SRElE4yqQzJZDLXY4xYDIU+9IaClKFAVFCkvFLoF0OhD6lQkEpzPAkRpZOUVwr9Yij0IR6PA+j5A0REhYN7Cv1jKPSh9+HefAwnUWGRSIogCEKuxxixGAp96N1gFgReZhIVkmQyyQMk/WAo9KH3D02Sl5lEBYWh0D+GQh96/9Bw7ZGosCQTCR4g6QdDoQ/FxT03rfGUAlFh4ZVC/xgKfUgtHyV5pUBUSBgK/WMo9EEikUAmkyHMJzQRFZRoJILS0tJcjzFiMRT6oVKp4Xayd52okHS7ndBoNLkeY8RiKPRDrdHA5WTFLlGhiEWj8Hk90OlYid8XhkI/VGo1nHY+to+oUDgdPT/PDIW+MRT6odZo4ORj+4gKhsPOUNgehkI/1GpN6pMFEeU/p80KANBqtTmeZORiKPRDrdHA43alyvGIKL85bFbIZDIolcpcjzJiMRT6oVL3nFBw8WqBqCA47DYoVRpIJHzr6wv/zfRDrVYDABw2hgJRIXDarVCqeRy1PwyFfqg3n2V22q05noSI0sFus0Kl4X5CfxgK/ZDLFZDKZLDbGApEhcBpt6aWhWnbGAr9kEgkUGu0vFIgKhB2mxUqNa8U+sNQ2A6t3oCujrZcj0FEwxQKBeFxu6DhPQr9Yihsxw4TJuGHNatzPQYRDdOGtashiiKax+2Y61FGNIbCduw4cWe0/rwBoVAw16MQ0TCsXfU9SkpL0TCmOdejjGgMhe2YMGkyBEHAhrW8WiDKZ+tWr8D4nXaGTFac61FGNIbCdowZOx7FJSVYt3pFrkchomH4YfVKTJw8NddjjHgMhe0oLinBjjvtzFAgymOhUBCtP/+IiVN2yfUoIx5DYQB2mjwV61atzPUYRDREG9auhiAIvFIYAIbCAEycMpWbzUR5rHeTeez4nXI9yojHUBiAiZN3gSAI+HHdmlyPQkRD0LvJXFzMTebtYSgMwLjxO3GzmSiPcZN54BgKA1BcUoLxEyZh3aoVuR6FiAaJm8yDw1AYoIlTpmItQ4Eo73CTeXAYCgM0Zdrv0fLTerhdzlyPQkSD8O1X/0F5RSU3mQeIoTBAe+03EwCw/OMPczwJEQ3G0iWLsOf0A7jJPEAMhQFSa3WY8n+7YulHH+R6FCIaIKfdhjUr/ofpM2fnepS8wVAYhOkzZ+OLZZ8gGonkehQiGoDPPvkQRUVF2Hv/A3M9St5gKAzCvjNmIRwK4psvl+d6FCIagKWLF2GX3+0GpUqd61HyBkNhEMaOn4C6hiYsXbwo16MQ0XaEwyF8tXwpph/IpaPBYCgMQlFREabPnI1lH30AURRzPQ4R9ePrz5chEglzP2GQGAqDNP3A2bBbzfhhDQvyiEayZR99gMbmcRgzdodcj5JXGAqDNG3XPVAtl2PpEi4hEY1UgiBg2Ucf8CphCBgKg1RcXIy9ps9kKBCNYGtXfg+n3YZ9Z8zK9Sh5h6EwBNNnzsb6NatgNXfmehQi2oalSxZBrlBi6u93y/UoeYehMAR7Tj8AMpkMH3/wbq5HIaJfEUURn3z4LvbefyZkMlmux8k7DIUhqJErsO+MWXjjxWd5ColohFnx7dfY+ON6HHrU8bkeJS8xFIZoztwz8fOGdfjumy9zPQoRbeGVZ59EQ1Mzdt97eq5HyUsMhSH6w577oLF5HF559slcj0JEm7mcDix+7y0cd8oZkEj49jYU/Lc2RBKJBMedcgY+WvQOnHZbrschIgBvvvwcpBIpDj/2pFyPkrcYCsNw+DEnQiaV4V8vP5frUYhGvWQyideefwqzDz8acqUy1+PkLYbCMNQoFJh9xDF4/YVnkEgkcj0O0ai2/JPFsHR1Ys7cM3M9Sl5jKAzTnLnzYDV38uE7RDn2yrNPYudd/g+TdpmW61HyGkNhmCZOnorJ037PDWeiHOrY1Ir/LP0Ic+bOy/UoeY+hkAZz5s7DF599grbWjbkehWhUevX5p1AjV+CgPx2V61HyHkMhDQ469EgolCq89txTuR6FaNSJhMN465XnccSck1FWXp7rcfIeQyENSsvKcOTxp+DNV59HMODP9ThEo8r7b78Gr6cbc07h0lE6MBTS5ITTzkI0EsFzCx/O9ShEo0YsGsXjD8zHAbP/hPqmMbkepyAwFNLEYKrD8XPPxDOPLoDb5cz1OESjwqvPPwWruQt/ueyaXI9SMBgKaXTmXy6BRCLBEwvuzvUoRAUv4PfhiQfvxuHHnYTmHXbM9TgFg6GQRgqlCqedcyFefe4pdHW05XocooL27BMPIRgM4Ny/XZHrUQoKQyHNTj7zXNTIFXj43ttzPQpRwXK7HHj28Ydwwml/hsFYm+txCgpDIc0qKipx9kV/x7tvvILWnzfkehyigvT0ww9AKpXgzPP/lutRCg5DIQOOPvFU1DU04amH7sv1KEQFx2Gz4I2X/onTz/0ri+8ygKGQAcXFxTj/0qvx9edL8fO6lbkeh6igvPPik5ArlDjxjLNzPUpBYihkyKzDjsK4HSfi7WceQTgcyvU4RHlPFEWsX/Udvl72Ec684BJUVFTmeqSCxFDIEIlEgr9cfg1a1q/G5++/DrvNwnptoiEKhQIwd7bhzYX3wVjXgKNPOjXXIxUshkIGTZ8xG7v+cW/8+4XHUZoIwmbeBI/bBUEQcj0aUV6IxaKwmTsRdNvg+PF7rPr2S/z1iutRVlqW69EKFkMhg4qKinDNrffAbrXg43dexYR6A4qifli62tiRRNSPpJCEy2mH29oBVXkRGvQqPHrPbdhz+gwc9Kcjcz1eQWMoZNiYceNx/qVX44UnH4G5fRN23mkHNGlqEPHYYTF3IBqN5HpEohFDFEX4fB5YOzehTAhjQlMddhy/Ax6953aEQkFcf9cDKCoqyvWYBY2hkAVzzzofk6f9Htddcj6EZBKNjY2YNH4sdBUydNs64bRbkUxyv4FGt0g4BEtXOxIBN8aZNJg0YUdoNBp8/skSvP3ai7jsult5o1oWMBSyQCqV4uZ7HoLF3ImH5t8KAKiqqsL48eOwU3M9KopisHZtgtfTDVEUczwtUXYl4nHYrGb4nGbUKiswecIOqDXVQiaTwef14KbL/4o9p8/AEXNOzvWoowJDIUvGjBuPCy69Bs8tfBjf//crAEARiqBWqTFpwniMr9NDDHlg7mxDKBTI8bREmScIAtwuJxyWdihKBEwa14SxY8agvOyXB+XMv/EqLhtlGUMhi04567zUMtKW9y5IpTIYDUbsPGEH1KurEHTbYLN0IR6L5XBaoswJ+HywdLZBlghgx0YjJozfAXK5YqvXfPbxh1w2ygGGQhZtaxlpS2VlZWhuasKkHcZAVQa4rO1wOe1ICskcTEuUftFoBJaudkT9TjQbFNh5wnjotDpIJdKtXsdlo9xhKPShqKgIFSUyuGxd8HS70/Z9t7WM9Gs11TXYcfwOmNBUh1IhBGvnJvh8nrTNQJRtiUQCdpsFHlsnDNUl2HnHsaivq0dJcck2X5+JZaN4PA5zZzuKEiHIZLK0fM9CVCRyZ7NPsVgMnZ2daO2yISTIoDOYUFFZNezvm0wmcepRs+DtduPVD5ejvLyiz9fGE3HYbTZ0OdyICFKo1FqU9fN6opFEFEV4u90IBTxQVZai1qiHQqFAEfp+o//s4w9xwWlzcOP8BTjy+FPSMoPb6YC/2wFtdSnGNjVAo9Fwj6IPDIUBCAQCaN3Uhk6nB0WlVdDpTSgu2fYnnIFq3fgTjjtob8w+/GjcePc/tvsHNBQOwWy2wO7xAyUVUKm0kBUXD2sGokwKBvzwdDtRJStCnUEDjVb7m2WiX7NaunDCIfthwqQpePjZ14b9xu33eeG0myEvLkJzgwlGo5FXCdvBUBgEp9OJlk3tsPsiqJCrodbqIJEMfQXunddfwjUXn4vLb7wDJ51xzoC+xuv1oNNihTsQRVmVHHKFalgzEKVbNBpBt8uJYiEKg1oBg9GA0pLS7X5dOBzC6UcfjG63Ey+++ynUGu3QZ4hEYLN0oViIoNGgQUNDPcrLy7f/hcRQGKxkMgmLxYKN7WZ4owLUWiNqFIohf7+7b74Gzy98GI889wb22Ge/gc0gJOFyudBhsSMQEyFXqFFVUzPkGYjSIZlMwON2IRH2Q1NTiVqTEVVVA1tuFUURl19wJpYuWYRn3/wAEyZNGdIMiUQCTrsVsYAHJlU1xjQ1QDGMn8/RiKEwRNFoFB0dHWg12xFFCXTG2n73BvqSTCZxwWlzsPr7b/Hivz9Bw5jmAX9tLB6DzWaD2eFGDMVQaXQoZVEYZVlPNYUXQa8LivJi1Br1UKlU/e4b/NrCf9yLB++8CXc/8gwOPPSIIc3Q7XbB57ZBU1mC5sZ66HQ67hsMAUNhmHw+H1o2taHL6YOsogY6g2nQa5Y+rwcnHTYDUqkUz7+9BFXVg/vUHwwG0GWxwuEJQFJWBaVKw3VTyopQKACP24lyiYg6gwZajXbQf/aWLlmEi+adiD9fdBnOv+SqQc8QDPjhsJlRKRUwtt4Ik8mEYu63DRlDIQ1EUYTD4UBLWwcc/iiqlVqoNNpBfUpp3fgTTj7sAEzbdQ888OSLkEr735D7zQwQ4fF40GWxwR2MorJaiRqFkp+UKCPisRjcLgckyTD0KgVMBgPKygZ/lfrzhh9w8uEzscfe03HPY88Oan8sFo3CbjVDkgiiXqdGU2MDKip4Mm+4GApplEgkYDab0dJhhj9RBLXWiOoa+YC/fvmnS/CX0+bg9HMvwkVXXD+kGZLJBJxOJzqtTgQSIhQqLSrTcIyWCOjZz/K43YiHvFBXl6PWZETNIK9se3m63Tjx0P1RXlGB595aPODj3slkEk67DRGfG0ZVJcY0NkClUg1pBvothkIGhMNhtLW1o93mQlxSBr2xFqUD/BT1z8cW4J5brsUdCxbi4COOGfIM0WgEVqsNFpcHCUkpVBotSgZwAoSoL36fF36PCzVlEtQZDFCpVZAUDe3kWzwex7mnHI0f163Bi+9+grqGpgF9nafbjW6nFapyKZob6mAwGHj6Ls0YChnk8XjQuqkdZrcfJVUKaPXG7S4LiaKIqy8+B0vefRvPvLEIk3aZNqwZ/AE/zGYrHL4gisuroVCpIZVyv4EGLhIOweWyo1wioFargk6vR7FseGv2d1z3d7z63FN47MU3sesee2/39aFQEHZrFyqKEmgy6VBfX4+SYd4rRNvGUMgwURRhs9nQ0tYBVyiOGpUeSpW637X+aCSC0489BHarBc+99SGMtfXDmwEi3G43uiw2eMJxVMrVqKmRc7+B+pWIx+F2OyDGQtArqmEyGVGRhrvpX/7nQtx2zaW4+tZ7MGfuvH5fG4/FYLeZIUYDqNMoMKapccDHXGloGApZEo/H0dXVhZZOKwIJCXQGEyqrqvt8vcNmxdyjDoKkSIKnX38fOoNx2DMkEgk4nA50Wp0IC0VQqrQor6gc9velwiIIArweN8IBD9RVZagzGn7TYDpUb7/2Iq7923k48YyzccWNd/Y7g8thR9DrhL6mHM1NDVCr+/8wRenBUMiyYDCITW3t6HS4IcgqoTOYUFK67bX+ro42nH7MISivqMBTr74LtVaXlhkikQjMVitsbg8EaTlUau2wazuoMAT9m6spSopQb9RBrVZvt5pioBa9/QauvPAsHHn8Kbj29vv63AvweTxwOSyQl0owdnM1xWBP49HQMRRyxO12Y2NrG2yeEMpqVNDqt71h1ta6EWcccwgUKhWefPVdKJTpO2Xh9Xlhtljh9IVRUimHQqVK2xsA5ZdoNAK3044SxGHSqqDX6/tsMB2Kjxf9G5eeexpmH3EMbrn3kW3+WQ+HQ7BZulCGGJqMWjQ0NKC0jw9MlDkMhRwSBAFWqxUt7Z1wh5NQagzbfNPf+ON6nHHsITDU1uGJF98eVq3Gb2YQBbhcLnRZbfBGBNQo1IM6Rkv5LZlMwO1yIhkJQKuoQp3RkPYjzMs/WYyLzjwJBxx0KG5f8MRvbm5LJBKwW81IhHyo1dSguakRNaxtyRmGwggQi8XQ0dGBTWY7QqIMOkMtKn611r9h3WqcOecwmOob8NgLb6b1igHoqei2WW0wO92IiFKo1DqUlbFArFCJogifpxtBfzeUFSWoNeqhVCoHVU0xEJ9++B4uPe907DV9Bu5+9J9b3WncW2nt63ZAW12CsY0N0GoHd9MnpR9DYQTZsqJbUlYNrX7r2/U3rFuNP594JDRaHR5/8a207TFsqbei2+bxo4gV3QUpGAzA43b8Ummt0WTkmPLid9/CFX85E9MPPBh3Lli41b5VT6W1BTXFIprrTTCZBl8PQ5nBUBhhRFGEy+VCy6Z22HxhVCl6KjN612A3/rgefz7hCFTV1ODxF9+C3mhK/wwQ4fV40WWxwhWMoLxKwYruAhCLReF2OiATojCo5DAaDRkrUHz3X6/gmovPxezDj8HN9z6cesOPRiKwW82QJcNo0KvR2NjASusRhqEwQvVX0d3WuhFnHX84iouLsfCVd4Z9H0OfMwjJzZUZDgRiIhRKDSqr+z5GSyNTUkjC43IiHvZDW1MJk8mA6n6OQw/Xv15+Fjf+/SIcMedkXHfH/ZBKpUgmk3DYLKy0zgMMhREuEon07DdYHIgWlUJvqEVZeTm6Otpw5vGHIR6L44GFLwz7zuf+xOIxWK1WWJzdiKIYalZ054UtK63lZTLUGfVQqdVp3zfoJQgCHnvgLjxy7x2YM/dMXHnzXSgqKkpVWqsrilOV1rzqHLkYCnnC6/Wita0dXU4fiivl0OqN6HY58dezTsaP69bghvkLcMiRx2Z0hmAwgM7NFd3Ssiqo1JlZi6bhC4eCcLscqJCKqNWrodPqMrpmHwoGcM3fzsNH77+DCy67Bmf95RKEggHYrWZUyQQ01xlQW1vLSus8wFDII70V3Rvb2uHwx1Cj0qGysgo3X3Ux/v36y5h3/sW44LJrMnqjjwgR3d3d6LRY0R2Ko4oV3SPKlpXWOqUcJqMB5Rk+RdbV0YaL5p2IzvY23P7AY9hz+gzYbRZI4gHUaVVoamxAZSXvnM8XDIU81FvRvbG9p6JbozPizZefw723Xoe99puJOxY8MegH9QxWMpmAw+FEl82BQKIICpWGFd051FtpHQv2VlobIM/C/SbffvUfXHL2XFRWVeP+hc9DoVQj7HVBr6jA2DGNrLTOQwyFPLZlRXdCWo6ff1yPay4+B1q9EQ8++dKgHu05VNFoBBaLFVa3lxXdOeL3eeHzuCAvk6DWoIdarR5ypfVgvP7CM7jtmksx7Q974Po7HkAyEYGiTIpxjay0zmcMhQLg8XjQ0toGS3cANrcHN11+EbpdLtz9yDPYfe/pWZnhNxXdag0rMzIsEgnD7bKjrCgJk0YFvWH4ldYDEY/HcdcNV+KVZxfimJNPx4mnn4VqGTCmlpXWhYChUCAEQYDdbsfGtg602dx44M5b8e1X/8Gl192Kk844Jytr/oIooNvtRqfFBm8kwYruDEkkEnC77GmvtB6IbrcLl55zKr7771c4729XYtasg1CnkWNMUyOqeVy5IDAUCkw8HkdnZyd+auvCI488irdefQFHHHcSrrxlPsqz9MaRSCRgd9jRZXMhlCyCSs2K7nTYqtK6sgy1RgPkCnnGjpj+2vq1q3DxWacg4Pfhiutvwf577c5K6wLEUChQvRXdTz/3AhbcezcMplrcfO/DmLbr7lmbIRwJw2yxwt7thSCrgEqlYUX3EG1ZaV1n0PZUU2RpeS4ej+Oph+7DYw/MR31TE26/Yz723O13rLQuUAyFAudyufDp0s9w7XXXYcMPa3HSGefgL5dfm7WrBqCnorvTbIHbH0FplQIKJSszBioajcDtcqBEjMGoUUKv16M0ixv5P/6wBlf/9Rz8tOEHzDnhZFx1+WUYN24sygb4zHHKPwyFUUAQBHR1deGOu+7Gwscfhc5owq33PZrVq4beiu4Oiw3+qAC5QoMq1iP3KZlMoNvlRCKDldb9icfjWLjgHjyx4G7U1jfg1ltvxaEHz4Zczlr1QsdQGEWi0Sg+++wzXPTXi7H+h3WYc+qZuPiqG7N61dBb0d3lcCMKVnT/Wm+ldcDfDWVFMeqMhoxUWvdnw7rVuOqis7Hxxw045dRTcdMN16O+vp77BqMEQ2EU8ng8uPnmW7BgwQLoDAbcdM/D2HWPvbI6QzAUhNlsgd0bQFFJJVRq7aivTu6ptHaiUiqizqCFVpvdGpF4PI5H77sDTz/yAOobGvDgAw9g1qxZo/7/l9GGoTBKiaKIL7/8Emefcw7WrlmDo088FZdce0tWlyh+XdFdUdVTmTHa9htisSi6nQ5Is1Bp3Zc1K77DtX87D60bf8JZZ52F22+/DUqlMqsz0MjAUBjlYrEYbrrpJtw1fz60Oj0uvPw6zD78mKwuFaQqui0OBOICFCotKjNY7TxS9FRTuBAP+aCprkBtrTGjldbb4unuxsP33obXn38ajU1NePyxx7D//vtndQYaWRgKBABYuXIlzj77bHz99dfYafIuuPjKG7N2N3SvaCwKq9UGq7MbMUkJVGptQVZ0i6IIv98Lv8cFxeZKa6VKlZVqil6RcBjPPPognnviIcRiUZx77rm47bbb+MAbYijQL0RRxJtvvomrr74a69evx2577ou/XXMzdtp5SlbnCAQC6LL2VHTLyqqgLKCK7t5K63KpgFqdGnqdPqtr9olEAm+8+Aweu/8uuN0uzDnuONx+++1obGzM2gw0sjEU6DeSySQWLlyIm2+5BeauLsw4+HBcfNWNqGvI3huHCBFutxtdVltPRXeNCjVyRd6egEnE43C5HCiKh6BXZafSekuiKGLxu2/hwbtuRsemFhw0axbuuP12TJ06NWszUH5gKFCfQqEQ7r33Xtx7333w+3w48vhTcP6lV0Ol1mRtht6K7k6rA8FkEZRqDSoq8qeiWxAEeLrdiAQ8UFeXoc5ogFyuyOoM33yxHPfccg1+WL0Su+22O2655WbMmDEjqzNQ/mAo0HY5HA7ccsutWPjkQoiCiFPOOh+nn3thVjeDI5FIzyNB3V4IklIo86CiO+DzwetxorpUgnpj9iqte61fuwr33Hwtvv7PMuw4YSfceMP1OOaYY1hNQf1iKNCAbdy4ETfceCNeefkVlJaV4fDjTsKcufPQ1DwuazP4/D50mS1w+cMorqiBQqUecRXdvZXWpUiiVquCTq9DSXF2Op8SiQSWf/whXnzmcXz9+TLU1tXj8r9fhrPOOovVFDQgDAUaFEEQ8N133+G+Bx7Ev995B36fF7vvvR+OnzsP+8zIzo1OgijA7erZb/BEEqhWqFFdnfuK7p5KawfEaBA6RRVMJiMqs9QO63LY8cZLz+K155+GzdKFHXeaiFNOOgnnnnsOn35Gg8JQoCGJxWLYuHEj/vnCS3jrzTexYd0a6I21OPak03DUCXOh0ekzPkMikYDNZkWXw42IIIVKrUVZFis7egmCAJ+nG6FAN1SVZag16qFQKDJeTSGKIr775ku88uyT+GjRO5BKpNh7/xk4+YTjcfCsA6HRaHIelJR/GAo0LIFAAK2b2rDsi6/x3rvv4tMlHyCZiGPG7MNw3Nx5+N1uf8z4G1NvRbfN7YVYXAG1WgtZceafQAYAwcDmSmtZEeoMGmi02owvZwUDfrz7r1fxyrNP4ucN61DXOAYHHXoYjjjkUOyy844wGo2spqAhYyhQWrhcLrRsasfGLjuWL1uG9956DW0tP2Ps+J1wzEmnYv+DDoGxtj6jM3i9HnRarHAHoiitlGe0ojtVaS3EYFArYDAaMlppnUwmsfJ/32DR22/g32+8jEg4hH0OOAgzZv8Jv586GU0mHRobG7hvQMPGUKC0SSaTsFqt+LmtC55IEq0bW/Dum69g2ZJFSCQSmDBpMvadORv7zTwYO03eJSNXEEkhCZfLhU6rHf6oCLlCndaK7l9XWtcaDKiqyswR2WDAjy8++wRLlyzC8o8Xw9PthlZnwBFzTsI+M2ZBVV0Oo7IazWMaWWlNacNQoLSLRqPo6OjAJrMDERSjoqoa//vqi543t08Xw+/1Qqc3Yt+ZszB95mz84Y/7oDTNn3Bj8RhsNhvMjm7EIINKoxtWZYYoivB5PQj43FBWFKPWoIdKpUr7voHV0oVlSz7A0iWL8M0XnyEei2HcjhMxfeZs7DtzFkx1DQh4HNBWlaK5sR46nY77BpRWDAXKGJ/Ph9a2dnQ5vZCW10CrNwIAVnz7FZYuXoRPF7+PzvZNKK+oxB/32Q/TZ87G3gcclNab41IV3Z4AikqHVtEdCgXQ7eqptK41aKDTatNWuyGKIn5YsxJLlyzC0iWLsH7NKshkMvxu9z2x74xZmD5jNuoamxDw++C0W1ApFTC23giTyYTiLO2b0OjCUKCMEkURTqcTLW0dsPsiqFZqodJoUVRUBFEU0fLThtQb4qrv/gsAaN5hR0ycMhUTJ/f8Z8dJk1ExjKOdIkR4PB50WWxwBSOorFJCrlRt9xN2PBaD22mHpLfS2mAY1pq9KIqwWbqwbtUKrFu9AutWr8TaVd+j2+VEdU0N9trvQEyfORt7Tj8ANZvveo5Fo7BbzZAkQqjXqdDU2ICKiuyfsKLRg6FAWZFIJGCxWNDSboY3LkKjM6G6Zut1cJfTgc8/XYJV332LH1avwI/r1yIWjUIikWDMuPHYafIumDh5KiZNmTakoEgmEz0V3VYnAgkRCqVmm3dlb1lpra4uR63JiJrqwe1L9BcAAKDW6jaH3i74/R574f/+8MetPvknk0k47TZE/W4YlJVobmrk8w0oKxgKlFXhcBjt7R1oszoRl5RBb6ztcz8hHo9j448/YN3qFVi7csW2g2LnKTDVNUCjM0CnN0CjN0Cr00Oj1aO4ZNt3EUdjUVgtVlhdHsQlpVCqNSgtLftNpXWtQQ+VetuV1qIoIhjww2GzwmG39vxqs8Fhs6Dl5x+xbvWKbQbAxMlTMXHKNOgMxj6vVLrdLnhdNijLpRjbWA+9Xj/qHjxEucNQoJzweDxo3dQOs9uPkioFNDrDgNb6twyKdatWYsO61bBZzHDarUgkElu9VqlSQ6s3/BIYOgO0ej3KysohlcmQSCTg8wcQjCYgLatEIh6DVIhBXlmOyqoqQBCQSCbh9XTDabOmAsBpt8FusyISDm31+1VWVUOrN6C+cUxPAEyZhomTp/YbAFsKBQOwW82okCQwplaPuro6lPQRbESZwlCgnBFFEXa7HS1tHXAGY6hR6aFUqYd0mqa3jdRhs6Q+sTvsNjjtv/y1w2aB02FHPBYb1PeurqnZHCgGaFO/6qHVG6HR6aHTG6HR64e87xGPxWC3mSFGA6jTKDCmqTFjx1yJtoehQDkXj8dhNpuxscOCYFICrd6U0QZWQRCQTCaRSMSRTCSQTCQRjUUgkxVDJpNBJpNBKpVBKpNBKpVm7MinIAhwOewIeV3Qy8vR3NQAtVqdkd+LaKAYCjRihEIhbGprR4fdBUFWCZ3BhJLSkV2PPVQ+jwcuhwXyUgnGNdbCYDCw0ppGBIYCjThutxutbe2wuIMoq1FBo9MXzBtmOByC3dKFUsQwxqRDfX09Sgs0+Cg/MRRoRBIEAVarFS3tnXCHk1BqDFAo87cCOh6Pw2GzIBHyoVZTg+amRtSksX6DKF0YCjSixWIxdHZ2orXLhqAghd5YN6wb2bJNFEW4nQ74ux3QVvdUU2i1WlZT0IjFUKC80FvR3en0oKi0Cjq9qc/7EEYKv88Lp90MeXERmhtMrLSmvMBQoLwhimKqotvmC6NSroFaqxtxN3ZFIxHYLF0oFiJo0KvR2NiA8vLyXI9FNCAMBco7yWQSFosFG9vN8EYFqLVG1CgUuR4LyWQSDpsFsYAHJlU1xjQ1QDEC5iIaDIYC5a1oNIr29nZssjgQQQn0xlqU5+BxnKIootvtgs9tg7qiGM2bqym4b0D5iKFAec/n86FlUxu6nD7IKmqgM5iytnYfDPhht5pRJRPQXGdAbW0tK60przEUqCCIogiHw4GNbe1w+GOo2aKiOxN+qbQOok7bU2ldWZk/p6KI+sJQoIKSSCRgNpvR0mGGL14Ejc74m4ru4eittI74eiutG6BS5e/9E0S/xlCgghQOh9HW1o52m2u7Fd0D5el2o9tphapciuaGOhgMhhF38olouBgKVNB+XdGt1RsHXZkRCgVht3ahoiiBps3VFKy0pkLFUKCCJwhCqqLbFYoPuKI7Ho/Dbu1ipTWNKgwFGjXi8Ti6urrQ0mlFICGBzrDtiu7eSuug1wl9zS+V1jxiSqMBQ4FGnWAwiE1t7eh0uH9T0b1lpfXYzdUUhdLQSjQQDAUatdxuNza2tsHmCaG0RoloJIxSMYomoxb19fUoG+bGNFE+YijQqLZlRXdVRTkrrWnUYygQoWe/QSaTcd+ARj2GAhERpfDOGyIiSmEoEBFRCkOBiIhSGApERJTCUCAiohSGAhERpTAUiIgohaFAREQpDAUiIkphKBARUQpDgYiIUhgKRESUwlAgIqIUhgIREaUwFIiIKIWhQEREKQwFIiJKYSgQEVEKQ4GIiFIYCkRElMJQICKiFIYCERGlMBSIiCiFoUBERCkMBSIiSmEoEBFRCkOBiIhSGApERJTCUCAiohSGAhERpTAUiIgohaFAREQpDAUiIkphKBARUQpDgYiIUhgKRESUwlAgIqIUhgIREaUwFIiIKIWhQEREKQwFIiJKYSgQEVEKQ4GIiFIYCkRElMJQICKiFIYCERGlMBSIiCiFoUBERCkMBSIiSmEoEBFRyv8DtW7hi4dXJpIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import RegularPolygon, Circle\n",
    "import numpy as np\n",
    "\n",
    "for num_vertices in [6, 8, 10, 12, 14, 16]:  # 迭代不同边数的正多边形\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.set_aspect('equal')\n",
    "\n",
    "    hexagon_inner = RegularPolygon((0, 0), numVertices=num_vertices, \n",
    "                                   radius=1, alpha=0.2, edgecolor='k')  # 内接正多边形\n",
    "    ax.add_patch(hexagon_inner)\n",
    "\n",
    "    hexagon_outer = RegularPolygon((0, 0), numVertices=num_vertices, \n",
    "                                   radius=1/np.cos(np.pi/num_vertices), \n",
    "                                   alpha=0.2, edgecolor='k')  # 外接正多边形\n",
    "    ax.add_patch(hexagon_outer)\n",
    "\n",
    "    circle = Circle((0, 0), radius=1, facecolor='none', edgecolor='k')  # 单位圆\n",
    "    ax.add_patch(circle)\n",
    "\n",
    "    plt.axis('off')  # 关闭坐标轴\n",
    "\n",
    "    plt.xlim(-1.5, 1.5)  # 设置x轴显示范围\n",
    "    plt.ylim(-1.5, 1.5)  # 设置y轴显示范围\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
